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Finding the Third Proportional to 31,213.69 and 48,027.94

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Solution

The third proportional to 31,213.69 and 48,027.94 is: 73,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213.69 : 48,027.94 = 48,027.94 : x
  2. Step 2: Convert to fraction form
    31,213.69/48,027.94 = 48,027.94/x
  3. Step 3: Cross multiply
    31,213.69x = 48,027.94 × 48,027.94
  4. Step 4: Simplify right side
    31,213.69x = 2,306,682,780.50
  5. Step 5: Solve for x
    x = 2,306,682,780.50/31,213.69
  6. Step 6: Final answer
    x = 73,899.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.